Properties of the Number 49347

Forty-Nine Thousand Three Hundred Forty-Seven

Basics

Value: 49346 → 49347 → 49348

Parity: odd

Prime: No

Previous Prime: 49339

Next Prime: 49363

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5483

Divisors: 1, 3, 9, 5483, 16449, 49347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000011000011

Octal: 140303

Duodecimal: 24683

Hexadecimal: c0c3

Square: 2435126409

Square Root: 222.1418465755608

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of magic labelings of the cycle-of-loops graph LOOP X C₆ having magic sum n, where LOOP is the 1-vertex, 1-loop-edge graph. A244879

Reversion of Jacobsthal numbers A001045. A91593

Reversion of x*(1-2·x)/(1-3·x). A154825

Numbers k such that 6·p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)*p(k+6)-1 and 6·p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)*p(k+6)+1 are twin primes with p(h) = h-th prime. A129313

Triangle T(n,k) read by rows: the coefficient [x^k] of the ∏_s=1..n (x+64·cos(s*π/(2n+1))⁶), 0<=k<=n. A179838

Period 3: repeat [1, -1, 0]. A49347

Rectangular array read by antidiagonals: A(n,k) = number of magic labelings of the graph LOOP X C_n (see comments) having magic sum k, n >= 1, k >= 0. A293311

Rectangular array read by antidiagonals: A(n,k) = tr((M_n)^k), k >= 0, where M_n is the n X n matrix M₁ = {{1}}, M_n = {{0,...,0,1},{0,...,0,1,1},...,{0,1,...,1},{1,...,1}}, n > 1, and tr(.) is the trace. A293312